Enumeration of Corona for Lozenge Tilings
Combinatorics
2026-04-13 v1
Abstract
Knecht considers the enumeration of coronas. This is a counting problem for two specific types of lozenge tilings. Their exact closed formulas are conjectured in [A380346] and [A380416] on the OEIS. We prove this conjecture by using the weighted adjacency matrix. Furthermore, we extend this result to a more general setting.
Cite
@article{arxiv.2504.19269,
title = {Enumeration of Corona for Lozenge Tilings},
author = {Craig Knecht and Feihu Liu and Guoce Xin},
journal= {arXiv preprint arXiv:2504.19269},
year = {2026}
}
Comments
13 pages, 13 figures